Self-similar sets in complete metric spaces
From MaRDI portal
Publication:4874359
DOI10.1090/S0002-9939-96-03158-9zbMath0844.28004OpenAlexW1900493850MaRDI QIDQ4874359
Publication date: 22 August 1996
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03158-9
complete metric spaceHausdorff dimensionHausdorff measurefractalsself-similar setstrong open set condition
Related Items (33)
Fractal dimension for IFS-attractors revisited ⋮ A characterization of metric subspaces of full Assouad dimension ⋮ \(C^m\) positive eigenvectors for linear operators arising in the computation of Hausdorff dimension ⋮ Open set condition for graph directed self-similar structure ⋮ Weakly controlled Moran constructions and iterated functions systems in metric spaces ⋮ Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods ⋮ Old wine in fractal bottles. I: Orthogonal expansions on self-referential spaces via fractal transformations ⋮ Self-similar fractals with a given dimension and the application to quantitative linguistics ⋮ Singular integrals on Ahlfors-David regular subsets of the Heisenberg group ⋮ Parametrizability of infinitely generated attractors ⋮ WEAK SELF-SIMILAR SETS IN SEPARABLE COMPLETE METRIC SPACES ⋮ Separation properties of finite products of hyperbolic iterated function systems ⋮ CONTINUITY OF THE HAUSDORFF DIMENSION FOR GRAPH-DIRECTED SYSTEMS ⋮ Irreducible fractal structures for Moran type theorems ⋮ Infinite graph-directed systems and Hausdorff dimension ⋮ Measure of self-affine sets and associated densities ⋮ Conformal Graph Directed Markov Systems on Carnot Groups ⋮ Hölder parameterization of iterated function systems and a self-affine phenomenon ⋮ Dimension of hyperfractals ⋮ On different forms of self similarity ⋮ Fuzzy fractals and hyperfractals ⋮ A new approach to numerical computation of Hausdorff dimension of iterated function systems: applications to complex continued fractions ⋮ A Cantor set in the plane and its monotone subsets ⋮ Separation properties of \((n,m)\)-IFS attractors ⋮ Singular Integrals on Self-similar Subsets of Metric Groups ⋮ The pointwise dimension of self-similar measures in complete metric spaces ⋮ On one-point intersection property for self-similar fractals ⋮ On some dimension problems for self-affine fractals ⋮ MULTIVALUED FRACTALS AND HYPERFRACTALS ⋮ Positive operators and Hausdorff dimension of invariant sets ⋮ Dimension and measure for typical random fractals ⋮ Removable sets for Lipschitz harmonic functions on Carnot groups ⋮ Iterated function systems and the code space
Cites Work
This page was built for publication: Self-similar sets in complete metric spaces